A ballistic pendulum consists of a bullet (Mb=0.1kg) fired at a small wooden block (mw=0.5kg) attached to a string, 25cm long, connected to a pivot. The bullet is fired horizontally at the block and when the bullet collides, it is imbedded in the wooden block. At the instant the collision ends, the block and bullet are moving together with a speed of v=1.5m/s.
a) At what speed, was the bullet fired from the gun with?
b) How high does the pendulum reach above it's initial position.?
c) What is the initial angular speed, w, of the pendulum, immediately following the collision (in other words, what is the angular speed of the pendulum at the bottom of its swing when it has a linear speed of 1.5m/s)